109 resultados para Rural Groups
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The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.
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The measurement of social polarization has received little attention from the literature. The only social polarization index that has been used to measure religious or ethnic polarization (the RQ index) has several shortcomings that are critically discussed in the paper. In particular, that index is not taking into account the existing distance between and within different groups. A couple of axiomatically characterized social polarization indices that overcome these limitations are presented. In the empirical section we show that the rankings of countries according to the levels of polarization change to a great extent when we replace the RQ index by the indices presented in this paper.
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Aquest treball de fi de carrera pretén desenvolupar el pla de negoci per a la construcció i l’explotació d’un complex de turisme rural al Pallars Sobirà. El projecte compren l’enderroc de les construccions preexistents, construcció i posterior explotació d’apartaments d’ús turístic i una cafeteria a la població d’ Àreu. Dins el pla de negoci s’hi contemplen els plans comercial, financer, l’anàlisi del mercat i l’entorn i una acurada definició del servei que s’oferirà. Amb el treball es vol, doncs, aportar idees pràctiques i útils per a la consecució dels objectius plantejats en el projecte familiar.
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The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an action of the dihedral group of order 24. More recently music theorists have found an intriguing second way that the dihedral group of order 24 acts on the set of major and minor triads. We illustrate both geometrically and algebraically how these two actions are dual. Both actions and their duality have been used to analyze works of music as diverse as Hindemith and the Beatles.
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We give a unified solution the conjugacy problem in Thompson’s groups F, V , and T using strand diagrams, and we analyze the complexity of the resulting algorithms.
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We describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in [2] and Kassabov and Matucci in [5]. Thanks to the interplay between the techniques, we produce a simplified point of view of conjugacy that allows ua to easily recover centralizers and lends itself to generalization.
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Guba and Sapir asked, in their joint paper [8], if the simultaneous conjugacy problem was solvable in Diagram Groups or, at least, for Thompson's group F. We give an elementary proof for the solution of the latter question. This relies purely on the description of F as the group of piecewise linear orientation-preserving homeomorphisms of the unit. The techniques we develop allow us also to solve the ordinary conjugacy problem as well, and we can compute roots and centralizers. Moreover, these techniques can be generalized to solve the same questions in larger groups of piecewise-linear homeomorphisms.
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"Vegeu el resum a l'inici del document del fitxer adjunt."
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"Vegeu el resum a l'inici del document del fitxer adjunt."
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El present projecte té com a objecte d’estudi l’anàlisi de la situació ambiental en que es troben els ETR de l’àrea d’influència del Parc del Garraf (PG). En una primera fase, s’inventarien i analitzen els 12 ETR més propers als límits del sistema natural del PG, Parc d’Olèrdola i Foix a partir d’una ecofitxa de criteris ambientals d’àmbit general. Posteriorment, s’estudia la viabilitat d’implantació del Distintiu de Garantia de Qualitat Ambiental (DGQA) en els 6 ETR pilot escollits a partir d’una segona ecofitxa creada a partir dels criteris del distintiu. D’aquest detallat estudi s’extreuen relacions interessants com per exemple, que els ETR més aïllats del nucli urbà fan servir el doble de sistemes per obtenir energia que els establiments ubicats al recinte urbà i que actualment, el preu segueix estant més associat a confort que no pas a compromís ambiental. Finalment, s’elaboren unes propostes de millora i els pressupostos associats per que aquests ETR puguin complir les exigències del distintiu.